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Finding the Fourth Proportional to 10,494.64, 15,743.66 and 3,099.84

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Solution

The fourth proportional to 10,494.64, 15,743.66 and 3,099.84 is: 4,650.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.64 : 15,743.66 = 3,099.84 : x
  2. Step 2: Convert to fraction form
    10,494.64/15,743.66 = 3,099.84/x
  3. Step 3: Cross multiply
    10,494.64x = 15,743.66 × 3,099.84
  4. Step 4: Simplify right side
    10,494.64x = 48,802,827.01
  5. Step 5: Solve for x
    x = 48,802,827.01/10,494.64
  6. Step 6: Final answer
    x = 4,650.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.